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Finding the Fourth Proportional to 144,328.38, 199,177.32 and 80,666.34

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Solution

The fourth proportional to 144,328.38, 199,177.32 and 80,666.34 is: 111,321.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,328.38 : 199,177.32 = 80,666.34 : x
  2. Step 2: Convert to fraction form
    144,328.38/199,177.32 = 80,666.34/x
  3. Step 3: Cross multiply
    144,328.38x = 199,177.32 × 80,666.34
  4. Step 4: Simplify right side
    144,328.38x = 16,066,905,415.41
  5. Step 5: Solve for x
    x = 16,066,905,415.41/144,328.38
  6. Step 6: Final answer
    x = 111,321.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.